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Finding the Third Proportional to 689,433.19 and 1,514,914.31

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Solution

The third proportional to 689,433.19 and 1,514,914.31 is: 3,328,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,433.19 : 1,514,914.31 = 1,514,914.31 : x
  2. Step 2: Convert to fraction form
    689,433.19/1,514,914.31 = 1,514,914.31/x
  3. Step 3: Cross multiply
    689,433.19x = 1,514,914.31 × 1,514,914.31
  4. Step 4: Simplify right side
    689,433.19x = 2,294,965,374,217.35
  5. Step 5: Solve for x
    x = 2,294,965,374,217.35/689,433.19
  6. Step 6: Final answer
    x = 3,328,771.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.